(Solved): 7 Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of a ...

Engineers want to design seats in commercial aircraft so that they are wide enough to fit $$95\%$$ of all males. (Accommodating $$100\%$$ of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of $$14.1\mathrm{in}$$. and a standard deviation of 0.9 in. Find $${\mathrm{P}}_{95}$$. That is, find the hip breadth for men that separates the smallest $$95\%$$ from the largest $$5\%$$. The hip breadth for men that separates the smallest $$95\%$$ from the largest $$5\%$$ is $$P_{95}=$$ (Round to one decimal place as needed.)